Spheres Answers

Ismelda watches a soap bubble resting on a driveway. The bubble is in the shape of a hemisphere. When the bubble pops, the soap residue left behind is in the shape of a circle with the same diameter as the hemisphere. Ismelda measures the diameter of the bubble as 6 inches. What volume of air was in the hemisphere before the bubble popped? (Use 3.14 for π. Round the answer to the nearest tenth, if necessary. Recall that the formula for the volume of a sphere is .)

A piece of solid, spherical glass has a circumference of 18.84 centimeters. The sphere is cut in half, creating two identical hemispheres. Using 3.14 for π, Tran computes the amount of paint needed to cover the sphere.

A company produces individually wrapped spherical biscuits. The minimum amount of wrapping material needed to cover a biscuit, assuming no edges overlap, is 200.96 square centimeters. What is the diameter of one biscuit? (Use 3.14 for the value of π.)

Mackenzie knows the surface area of a sphere. Which explains how she can find the surface area of a hemisphere with the same radius?

The drawing tip of a large marker is in the shape of a hemisphere. The diameter of the great circle of the hemisphere is 22 millimeters. What is the volume of the drawing tip? (Use 3.14 for π. Round the answer to the nearest tenth, if necessary. Recall that the formula for the volume of a sphere is .)

A company manufactures exercise balls. Type A is a spherical ball with a radius of 12 inches. Type B is a spherical ball with a radius of 16 inches. What is the ratio of the surface area of Type A to the surface area of Type B?

The volume of a sphere is cubic millimeters. What is the circumference of the great circle of the sphere? (Recall that the formula for the volume for a sphere is and the formula for the circumference of the great circle is .)